# Stored data for newform 1521.4.a.bd, downloaded from the LMFDB on 25 April 2024.
{"label": "1521.4.a.bd", "space_label": "1521.4.a", "level": 1521, "weight": 4, "hecke_orbit": 30, "hecke_orbit_code": 130604389260854769, "dim": 8, "is_polredabs": true, "trace_hash": 1145788582467215636, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [4992, 0, -4210, 0, 805, 0, -52, 0, 1]], [5, [909792, 0, -9287935, 0, 140795, 0, -677, 0, 1]], [7, [-39884, 10894, -700, -11, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(5+\\beta _{2})q^{4}+\\beta _{3}q^{5}+(3-\\beta _{5}+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24336, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 89.74190511873148, "hecke_ring_index": 4, "level_radical": 39, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.510", "prec": 17}, "analytic_rank_proved": true, "char_values": [1521, 1, [677, 847], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [3, 13], "conrey_indexes": [1], "field_disc": 283563140484249282508800, "field_disc_factorization": [[2, 11], [3, 1], [5, 2], [13, 3], [29, 2], [199, 2], [5023, 2]], "field_poly": [4992, 0, -4210, 0, 805, 0, -52, 0, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.038", "prec": 17}, {"__RealLiteral__": 0, "data": "3.197", "prec": 17}, {"__RealLiteral__": 0, "data": "270.780", "prec": 24}, {"__RealLiteral__": 0, "data": "472.781", "prec": 24}, {"__RealLiteral__": 0, "data": "16008.317", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "3.2.3.c1", 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